You can put this solution on YOUR website!
Write the slope intercept form of the equation of the line through the given point with the given slope.
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).
Step 2. Now we have to find the line with slope m=7 going through point (1,2).
Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as
Step 4. Let (x1,y1)=(1,2) or x1=1 and y1=2. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.
Step 5. Now we're given
. Substituting above values and variables in the slope equation m yields the following steps:
Step 6. Multiply x-1 to both sides to get rid of denominator on right side of equation.
Step 7. Add 2 to both sides of the equation
Step 7. ANSWER: The equation in slope-intercept form is
where the slope m=7 and the y-intercept b=-5.
Note: the above equation can be rewritten in standard form as
And the graph is shown below which is consistent with the above steps.
|Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc|
|Equation describes a sloping line. For any |
equation ax+by+c = 0, slope is .
- X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -5/-7 = 0.714285714285714.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -5/1 = -5.
- Slope is --7/1 = 7.
- Equation in slope-intercept form: y=7*x+-5.
I hope the above steps and explanation were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!